"Oh Conan these are my very own, well not my very own, fresh eggs," said the actress, 44. "Everyone's talking about my eggs... Well, I'm giving them to you, Conan."
The eggs had been laid by the chickens owned by Jennifer and her fiancé Justin Theroux at their $21million Bel Air home.
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Her joke came after her appearance on Good Morning America on Wednesday, where she spoke out about being questioned about the status of her relationship with Justin and starting a family.
Promoting her new film We're the Millers, Jennifer revealed that she is tired of being asked about her plans to tie the knot and have children with Justin. She added that journalists often try to disguise questions about her personal life by relating them to the movie.
"Something about family and trying to relate it to the movie with, Oh, if I was to have a child how many kids do I want? And, do I want a boy or a girl?," she said.
"I surround myself with my amazing work, my amazing friends , my amazing partner, my beautiful dogs… and I tune that noise out," she said.
The American actress set the record straight about her family unit too. "My friends and my partner are truly my family," she said.
Speaking on Good Morning America, she went on to joke about starting a family . "I didn't realize you could place orders, I honestly didn't realise it was like a drive-through, that you could talk to a little electronic voice."
The questioning seems to have been sparked by her red carpet appearance last Thursday. The Hollywood star wore plum coloured pencil dress that flaunted her fabulously toned figure and a curvier figure than usual.
She teamed the Burberry gown with sky-high suede heels and one show stopping accessory – her dazzling emerald-cut diamond engagement ring, rumoured to be eight carat gold.
The couple got engaged on Justin's birthday on 10 August 2012 after dating for more than a year. They have not set a wedding date.